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Finding the Third Proportional to 6,953,019.75 and 10,636,201.13

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Solution

The third proportional to 6,953,019.75 and 10,636,201.13 is: 16,270,452.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953,019.75 : 10,636,201.13 = 10,636,201.13 : x
  2. Step 2: Convert to fraction form
    6,953,019.75/10,636,201.13 = 10,636,201.13/x
  3. Step 3: Cross multiply
    6,953,019.75x = 10,636,201.13 × 10,636,201.13
  4. Step 4: Simplify right side
    6,953,019.75x = 113,128,774,371,451.27
  5. Step 5: Solve for x
    x = 113,128,774,371,451.27/6,953,019.75
  6. Step 6: Final answer
    x = 16,270,452.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.